Hw-04_W13_Sol

# Hw-04_W13_Sol - Electrical Engineering Department Winter...

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Electrical Engineering Department Winter 2013 EE115C Digital Electronic Circuits Homework #4 Solution Problem 1 Power and Energy (Previous Midterm Question) Figure 1 1A What logic function is implemented by this circuit (inputs: A, B, C; output: F)? Solution: F = ( ) 1B Assume the probability of logic 1 for inputs: p(A = 1) = 0.3, p(B = 1) = 0.25, p(C = 1) = 0.3, capacitances C Y = 10 fF, C F = 40 fF, frequency f = 200 MHz, V DD = 1 V, threshold voltage V TN = 0.2 V and V TP = −0.3 V. Calculate the average switching power P sw of the circuit (input C is a full swing signal). Solution: A B Y 0 0 0 0 1 1 1 0 1 1 1 1 ( ) ( ) ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) Y C F value 0 0 0 (0*) 0 1 0 1 0 0 (0*) 1 1 1 B A Y C F C Y C F C

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Electrical Engineering Department Winter 2013 ( ) ( ) ( ) ( ) ( ) ( | |) ( ) ( ) ( )( ) ( ) ( ) ( ) ( )( ) { ( ) | | ( ) ( ) ( ) 1C Calculate the heat energy dissipation for one cycle (charge + discharge) associated with C Y and C F . Solution: { ( ) ( ) ( ) ( )
Electrical Engineering Department Winter 2013 Problem 2 Supply Voltage Scaling 2A Similar to calculating FO4 delay from Tutorial 2 , find FO4 delay of an inverter with following parameters (W p =650nm, W n =430nm) when V DD varies from 1V down to 0.15V (with 50mV increments). Specify capacitance and clock properties as follows:

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